Intuitionistic fuzzy rough sets: at the crossroads of imperfect knowledge gap by introducing a new definition of intuitionistic fuzzy rough sets, as the most natural generalization of Pawlak's original concept of rough sets.Chris... C Cornelis,MD Cock,EE Kerre - 《Expert Systems》 被引量: 241...
A conditional probability relation is considered as a concrete example of the weak similarity relation by which a covering of the universe is provided as a generalization of a disjoint partition. A generalized concept of rough approximations regarded as a kind of fuzzy rough set is proposed and ...
Yeung D, Chen D, Tsang E, Lee J, Wang X (2005) On the generalization of fuzzy rough sets. IEEE Trans Fuzzy Syst 13:343–361 Article Google Scholar Zadeh L (1965) Fuzzy sets. Inf Control 8:338–358 Article MATH Google Scholar Zadeh LA (1975) The concept of a linguistic variable...
aAs a generalization of crisp rough sets to deal with fuzzy databases, fuzzy rough sets should certainly be measured reasonably. The existing researches on fuzzy rough sets 作为应付的酥脆概略的集合的概念化模糊的数据库,应该一定测量模糊的概略的集合合理地。 存在模糊的概略的集合研究[translate]...
rough sets The measurement of rough sets has been an important topic in the traditional rough set theory(22-25). As a generalization of crisp rough sets to deal with fuzzy databases, fuzzy rough sets should certainly be measured reasonably. The existing researches on fuzzy rough sets[translate]...
The purpose of this paper is to introduce and discuss the concept of T -rough prime and primary submodules which is a generalization the lower and u... E Hosseinpour - International Scientific Research Publications MY SDN. BHD. 被引量: 2发表: 2014年 PHOTOGRAMMETRIC MODEL BASED METHOD OF ...
However, the requirement of an equivalence relation in Pawlak rough set models seems to be a very restrictive condition that may limit the applications of the rough set models. Thus one of the main directions of research in rough set theory is naturally the generalization of the Pawlak rough ...
Therefore, based on overlap and grouping functions over complete lattices, this paper is devoted to proposing (O,G)-fuzzy rough sets as a further generalization of the notion of rough sets. Firstly, we define a pair of O-upper and G-lower L-fuzzy rough approximation operators and investigate...
Finally, we establish the relationships between fuzzy rough sets and fuzzy topology. In this work, researches on the properties of fuzzy rough sets based on triangular norms which need not be continuous provide generalization results for fuzzy rough set theory from viewpoint of mathematics. Keywords...
Then, according to stability theory, the generalization error bound of the GSSVM algorithm is derived as a theoretical guarantee for selecting the optimal reduct. Finally, an optimization attribute reduction algorithm (RDROAR) based on the relative discernibility relation is presented by removing the ...